Koliesnikova, Daria; Ramière, Isabelle; Lebon, Frédéric Fully automatic multigrid adaptive mesh refinement strategy with controlled accuracy for nonlinear quasi-static problems. (English) Zbl 07598914 Comput. Methods Appl. Mech. Eng. 400, Article ID 115505, 30 p. (2022). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{D. Koliesnikova} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115505, 30 p. (2022; Zbl 07598914) Full Text: DOI OpenURL
Ciaramella, G.; Vanzan, T. Substructured two-grid and multi-grid domain decomposition methods. (English) Zbl 07570474 Numer. Algorithms 91, No. 1, 413-448 (2022). MSC: 65N55 PDF BibTeX XML Cite \textit{G. Ciaramella} and \textit{T. Vanzan}, Numer. Algorithms 91, No. 1, 413--448 (2022; Zbl 07570474) Full Text: DOI arXiv OpenURL
Nkoumbou Kaptchouang, Noé Brice; Gélébart, Lionel Multiscale coupling of FFT-based simulations with the LDC approach. (English) Zbl 07526225 Comput. Methods Appl. Mech. Eng. 394, Article ID 114921, 29 p. (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{N. B. Nkoumbou Kaptchouang} and \textit{L. Gélébart}, Comput. Methods Appl. Mech. Eng. 394, Article ID 114921, 29 p. (2022; Zbl 07526225) Full Text: DOI OpenURL
Abdulle, Assyr; de Souza, Giacomo Rosilho A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. (English) Zbl 07517175 J. Comput. Phys. 451, Article ID 110894, 20 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDF BibTeX XML Cite \textit{A. Abdulle} and \textit{G. R. de Souza}, J. Comput. Phys. 451, Article ID 110894, 20 p. (2022; Zbl 07517175) Full Text: DOI arXiv OpenURL
Koliesnikova, Daria; Ramière, Isabelle; Lebon, Frédéric A unified framework for the computational comparison of adaptive mesh refinement strategies for all-quadrilateral and all-hexahedral meshes: locally adaptive multigrid methods versus h-adaptive methods. (English) Zbl 07505904 J. Comput. Phys. 437, Article ID 110310, 32 p. (2021). MSC: 65Nxx 74Sxx 35Jxx PDF BibTeX XML Cite \textit{D. Koliesnikova} et al., J. Comput. Phys. 437, Article ID 110310, 32 p. (2021; Zbl 07505904) Full Text: DOI HAL OpenURL
Abdulle, Assyr; De Souza, Giacomo Rosilho A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations. (English) Zbl 1448.65211 ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1269-1303 (2019). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 65Y20 74D10 35J62 65F10 65F08 65H10 PDF BibTeX XML Cite \textit{A. Abdulle} and \textit{G. R. De Souza}, ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1269--1303 (2019; Zbl 1448.65211) Full Text: DOI arXiv OpenURL
Ramière, Isabelle; Liu, Hao; Lebon, Frédéric Original geometrical stopping criteria associated to multilevel adaptive mesh refinement for problems with local singularities. (English) Zbl 1470.74076 Comput. Mech. 64, No. 3, 645-661 (2019). MSC: 74S99 74G70 74B99 PDF BibTeX XML Cite \textit{I. Ramière} et al., Comput. Mech. 64, No. 3, 645--661 (2019; Zbl 1470.74076) Full Text: DOI HAL OpenURL
Feng, Wenqiang; Guo, Zhenlin; Lowengrub, John S.; Wise, Steven M. A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids. (English) Zbl 1380.65402 J. Comput. Phys. 352, 463-497 (2018). MSC: 65N55 65N06 65M55 65M06 35J05 PDF BibTeX XML Cite \textit{W. Feng} et al., J. Comput. Phys. 352, 463--497 (2018; Zbl 1380.65402) Full Text: DOI OpenURL
Liu, H.; Ramière, I.; Lebon, F. On the coupling of local multilevel mesh refinement and ZZ methods for unilateral frictional contact problems in elastostatics. (English) Zbl 1439.74219 Comput. Methods Appl. Mech. Eng. 323, 1-26 (2017). MSC: 74M10 74S05 65N30 65N50 PDF BibTeX XML Cite \textit{H. Liu} et al., Comput. Methods Appl. Mech. Eng. 323, 1--26 (2017; Zbl 1439.74219) Full Text: DOI HAL OpenURL
Römer, Ulrich; Schöps, Sebastian; De Gersem, Herbert A defect corrected finite element approach for the accurate evaluation of magnetic fields on unstructured grids. (English) Zbl 1375.78009 J. Comput. Phys. 335, 688-699 (2017). MSC: 78A30 78M10 PDF BibTeX XML Cite \textit{U. Römer} et al., J. Comput. Phys. 335, 688--699 (2017; Zbl 1375.78009) Full Text: DOI arXiv OpenURL
Anthonissen, M. J. H.; Bennett, B. A. V.; Smooke, M. D. An adaptive multilevel local defect correction technique with application to combustion. (English) Zbl 1095.80003 Combust. Theory Model. 9, No. 2, 273-299 (2005). Reviewer: Adabala Ramachandra Rao (Bangalore) MSC: 80A25 80M25 PDF BibTeX XML Cite \textit{M. J. H. Anthonissen} et al., Combust. Theory Model. 9, No. 2, 273--299 (2005; Zbl 1095.80003) Full Text: DOI OpenURL
Pierce, Niles A.; Giles, Michael B. Adjoint and defect error bounding and correction for functional estimates. (English) Zbl 1058.65121 J. Comput. Phys. 200, No. 2, 769-794 (2004). MSC: 65J99 76N15 76M25 PDF BibTeX XML Cite \textit{N. A. Pierce} and \textit{M. B. Giles}, J. Comput. Phys. 200, No. 2, 769--794 (2004; Zbl 1058.65121) Full Text: DOI OpenURL
Haldenzwang, Pierre; Pignol, Didier Dynamically adapted mesh refinement for combustion front tracking. (English) Zbl 1075.80524 Comput. Fluids 31, No. 4-7, 589-606 (2002). MSC: 80M10 80A25 76M12 76V05 PDF BibTeX XML Cite \textit{P. Haldenzwang} and \textit{D. Pignol}, Comput. Fluids 31, No. 4--7, 589--606 (2002; Zbl 1075.80524) Full Text: DOI OpenURL
Anthonissen, M. J. H.; van ’t Hof, B.; Reusken, A. A. A finite volume scheme for solving elliptic boundary value problems on composite grids. (English) Zbl 0942.65128 Computing 61, No. 4, 285-305 (1998). MSC: 65N30 65F10 65N50 35J25 PDF BibTeX XML Cite \textit{M. J. H. Anthonissen} et al., Computing 61, No. 4, 285--305 (1998; Zbl 0942.65128) Full Text: DOI OpenURL
Bey, Jürgen; Wittum, Gabriel Downwind numbering: Robust multigrid for convection-diffusion problems. (English) Zbl 0879.65088 Appl. Numer. Math. 23, No. 1, 177-192 (1997). Reviewer: K.T.S.R.Iyengar (Bangalore) MSC: 65N55 65F10 65N06 65N50 65N12 35J25 PDF BibTeX XML Cite \textit{J. Bey} and \textit{G. Wittum}, Appl. Numer. Math. 23, No. 1, 177--192 (1997; Zbl 0879.65088) Full Text: DOI OpenURL
Ferket, P. J. J.; Reusken, A. A. A finite difference discretization method for elliptic problems on composite grids. (English) Zbl 0868.65073 Computing 56, No. 4, 343-369 (1996). Reviewer: R.R.D.Lazarov (College Station) MSC: 65N06 65N15 35J25 65N50 PDF BibTeX XML Cite \textit{P. J. J. Ferket} and \textit{A. A. Reusken}, Computing 56, No. 4, 343--369 (1996; Zbl 0868.65073) Full Text: DOI OpenURL
Ferket, P. J. J.; Reusken, A. A. Further analysis of the local defect correction method. (English) Zbl 0843.65072 Computing 56, No. 2, 117-139 (1996). Reviewer: S.F.McCormick (Boulder) MSC: 65N06 35J25 65N50 65F10 PDF BibTeX XML Cite \textit{P. J. J. Ferket} and \textit{A. A. Reusken}, Computing 56, No. 2, 117--139 (1996; Zbl 0843.65072) Full Text: DOI OpenURL
Khadra, K.; Angot, Ph.; Caltagirone, J. P.; Morel, P. Adaptive zoom concept in local multigrid architecture; comparative study of the methods L.D.C., F.A.C. and F.I.C. (Concept de zoom adaptatif en architecture multigrille locale; étude comparative des méthodes L.D.C., F.A.C. et F.I.C.) (French) Zbl 0851.65088 RAIRO, Modélisation Math. Anal. Numér. 30, No. 1, 39-82 (1996). Reviewer: Raoul F. Gloden (Ispra) MSC: 65N55 65N50 65N15 65N12 35J25 PDF BibTeX XML Cite \textit{K. Khadra} et al., RAIRO, Modélisation Math. Anal. Numér. 30, No. 1, 39--82 (1996; Zbl 0851.65088) Full Text: DOI EuDML OpenURL
Yang, Haigang Defect-correction multigrid methods for nonlinear problems. (English) Zbl 0629.65114 Appl. Math. Comput. 23, 359-364 (1987). MSC: 65N22 65H10 35J65 PDF BibTeX XML Cite \textit{H. Yang}, Appl. Math. Comput. 23, 359--364 (1987; Zbl 0629.65114) Full Text: DOI OpenURL
Gustafson, Karl; Leben, Robert Multigrid calculation of subvortices. (English) Zbl 0617.76031 Appl. Math. Comput. 19, 89-102 (1986). Reviewer: F.Hofmann MSC: 76D07 76-04 65N22 65F10 PDF BibTeX XML Cite \textit{K. Gustafson} and \textit{R. Leben}, Appl. Math. Comput. 19, 89--102 (1986; Zbl 0617.76031) Full Text: DOI OpenURL